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Large deviations properties of maximum entropy markov chains from spike trains
(MDPI, 2018)
"We consider the maximum entropy Markov chain inference approach to characterize the collective statistics of neuronal spike trains, focusing on the statistical properties of the inferred model. To find the maximum entropy ...
Information entropy production of maximum entropy markov chains from spike trains
(MDPI, 2018)
"The spiking activity of neuronal networks follows laws that are not time-reversal symmetric; the notion of pre-synaptic and post-synaptic neurons, stimulus correlations and noise correlations have a clear time order. ...
Estimating entropy rate from censored symbolic time series: A test for time-irreversibility
(American Institute of Physics, 2021)
"In this work, we introduce a method for estimating the entropy rate and the entropy production rate from a finite symbolic time series. From the point of view of statistics, estimating entropy from a finite series can be ...
Freezing phase transition in a fractal potential
(IOP Publishing, 2019)
"In this work we propose a simple example of a one-dimensional thermodynamic system where non-interacting particles are allowed to move over the [0, 1] interval, which are influenced by a potential with a fractal structure. ...
Thermodynamic Formalism in Neuronal Dynamics and Spike Train Statistics
(MDPI, 2020)
"The Thermodynamic Formalism provides a rigorous mathematical framework for studying quantitative and qualitative aspects of dynamical systems. At its core, there is a variational principle that corresponds, in its simplest ...
Constant-length random substitutions and gibbs measures
(2018)
"This work is devoted to the study of processes generated by random substitutions over a finite alphabet. We prove, under mild conditions on the substitutions rule, the existence of a unique process which remains invariant ...